Did the god pan have a wife?

Not in Israelite (Hebrew Bible) belief. Any people who did think such a thing were idolaters, and any Israelites who mimicked them did not represent or influence normative Judaism, just as the later Sadducees and Essenes did not. They were deviating from the Torah's standard; they were publicly, repeatedly, and scathingly excoriated by the Prophets, and they caused God's retribution to come upon the entire people.

Because of the idol-worship that did happen, ancient images of idols have been found in Israel too. Images of God aren't found because it is forbidden to represent Him through imagery (Deuteronomy 4:15-16).

It should be noted that idolatry was never universalamong the Israelites. The belief in One God was continued in every generation, whether by the few or the many; and it is those who handed down that tradition whose beliefs we Jews continue today.

See also:

Israelite monotheism

What is God like?